Consider a random survivorship group consisting of two subgroup: (1) the survivors of 1,600 persons joining at birth (2) the survivor of 540 persons joining at age 10. An excerpt

from the appropriate mortality table for both subgroups follows:

xl_x

040

1039

7026

If Y₁and Y₂are the numbers of survivors to age 70 out of subgroups (1) and (2), respectively, estimate a number c such that Pr(Y₁+ Y_{2 > c) = 0.05. Assume the lives are independent and ignore unit corrections.}